Math (Calculus?)

[x^5(-3)(x^2+1)^-4(2x)]-(x^2+1)^-3(5)x^4] / (x^5)^2

Can someone show my how to simplify this, step by step? So far I got that the denominator should be x^10 because of the exponents, and (x^2+1)^-4 could be simplified as [(x+1)(x-1)]/4, likewise with (x^2+1)^-3, except the denominator is 3. Help please! Thanks much!

  1. πŸ‘ 0
  2. πŸ‘Ž 0
  3. πŸ‘ 50
asked by Nikki
  1. The way you wrote your expression is very confusing,
    e.g. in [x^5(-3)(x^2+1)^-4(2x)]
    is that [x^(-15) * (x^2+1)^(-8x)] ?
    or [-3x^5 * 2x/(x^2+1)^4] ?

    You said (x^2+1)^-4 could be simplified as [(x+1)(x-1)]/4

    this is false, x^2 + 1 does NOT factor to ((x+1)(x-1)

    PLease use some more brackets, or some other way, to properly state your expression.

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Reiny
  2. sorry about that. it was written like that in the book o.o''

    It should be this (I think):
    [x^5*(-3)*[(x^2+1)^-4]*(2x)]
    - {[(x^2+1)^-3] * [(5)x^4]}
    over (x^5)^2

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Nikki
  3. [x^5*(-3)*[(x^2+1)^-4]*(2x)]-{[(x^2+1)^-3]*[(5)x^4]} / [ (x^5)^2 ] =
    {(-3)*(2x)*(x^5)*[(x^2+1)^-4]}-{(5)+(x^4)*[((x^2)+1)^-3] / (x^7) =
    (-6)*(x^6)*[((x^2)+1)^-4]-{(5)*(x^4)*[(x^2+1)^-3] / (x^7) =
    {[(-6)*(x^6)*[((x^2)+1)^-4]]/x^7}-[{(5)*(x^4)*[(x^2+1)^-3] /(x^7)] =

    {[(-6)*[((x^2)+1)^-4]]/x}-[(5)*[(x^2+1)^-3] /(x^3)] =

    (6/(x)[((x^2)+1)^4})] - (5/(x^3)[((X^2)+1)^3]
    i think

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by aycee

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    10a) Simplify the expression and explain each step. 12 + 3(2y – 3) Step 1: apply distributive property Step 2: combine like terms Step 3: simplify b) Factor the expression completely. 18b – 12 What is the GCF of 18 and 12? Use

    asked by help on November 13, 2017
  2. math

    Consider the sequence of steps to solve the equation: 2(x βˆ’ 4) + 6x = 9x βˆ’ 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given β‡’ 2(x βˆ’ 4) + 6x = 9x βˆ’ 10 Step 1 β‡’ 2x βˆ’ 8

    asked by Anonymous on October 25, 2018
  3. Help PLZ!!

    consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: -4 3 7 + 7 + (-3 4 7 ) Step 1: = -4 3 7 + (-3 4 7 ) + 7 Step 2: = -4 + (- 3 7 ) + (-3) + (- 4 7 ) + 7 Step 3: = -4 + (- 3 7 ) + (-

    asked by Daya on August 30, 2017
  4. Physics

    Can someone please show me step by step how to normalize e^-5x in the interval (0, infinity)? I have read a lot of different books etc but need it explained to me in plain English or showed to me step by step because I am just not

    asked by Tammy on September 16, 2011
  5. Math

    I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 βˆ’ 3x = βˆ’6 + 10: Step 1: 7x + 8 βˆ’ 3x = βˆ’6 + 10 Step 2: 7x + 8 βˆ’

    asked by Ryan on March 30, 2017
  6. Math question? Only 1.

    Use the order of operations to simplify the expression. –18 + (–4) + 20 + (–3) I know the answer is -5. Care to show me how to do it step by step, please?

    asked by Anonymous on September 24, 2014
  7. Physics

    I'm trying to rearange this 0 = Xo + 2^-1 a t^2 for t I've been told that it is (a^-1 2x)^(2^-1) but I do not see how please show me step by step how you get that 0 - Xo = Xo - Xo + 2^-1 a t^2 (-Xo = 2^-1 a t^2) a^-1 2 (a^-1

    asked by Physics on June 23, 2009
  8. Math (URGENT)

    Expand and simplify. 12-2(3y-2)(3y+2)-(2y+5)(2y+5) Textbook Answer: -22y^2-20y-5 I don't know how to get that. Can someone show me the step by step process? thank you very much.

    asked by John on April 22, 2010
  9. math

    hi i made a typo in my last question can u please show me step by step how to simplify [(x^3/y^3) -1]/[(x^2/y^2)+(x/y)+1]

    asked by emily on January 2, 2011
  10. algebra

    Can someone help me simplify this rational expression x^2-25 /x^2-3x-10 Please show step by step examples. thank you

    asked by Alaska Diamond on July 28, 2013
  11. Pre Calc

    Simplify and show work step by step cosΒ²ΞΈ + sinΒ² = ???

    asked by Huh on November 30, 2010

More Similar Questions